Re: Jason_t\'s flight home...
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Jason:99
John:98
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but where does it end? Yes, Jason knows that John is rational. If he assusmes that John plays 100, then by playing 99 he can score 101. But John knows this, so he plays 98, thus netting himself 100 instead. Of course, jason knows that John knows this, so he would just say 97, and so on and so on.
The only rational answer, then is 2. This is the only answer that cannot give the other an advantage.
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Scott
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Um...No. Jason should never go below 98 and neither should John, they'd both probably pick 98, but I just wanted to be wily. 2 is not a rational answer. Think about the prisoner's dilemma. Both prisoners should choose to squeal, even though if both squeal, it produces the worst outcome. Here, they should pick high numbers, even though that will produce a worse outcome.
EDITED TO ADD: By both picking high numbers, I mean within the range of 100-98. I don't see any reason to go below this.
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